Chapter 6.7, Problem 7CFU

To determine

To find: the value of $\theta$ .

Answer to Problem 7CFU

  $\frac{\pi }{4}+k\pi ,\text{ where }k\text{ is and integer}$

Explanation of Solution

Given information:

  $\cot \theta =1$

Calculation:

Solve the function as follows:

  $\begin{array}{c}\cot \theta =1\\ \frac{1}{\tan \theta }=1\left[\text{Using reciprocal identity}\right]\\ \tan \theta =1\left[\text{Taking reciprocal}\right]\\ \theta =\frac{\pi }{4},\frac{5\pi }{4},\mathrm{.....}\end{array}$

Thus there values for $\theta$ is $\frac{\pi }{4}+k\pi$ , where $k$ is an integer.